I will try and reduce what takes a whole book and a coupe years metallurgy studies into a simple explanation:
Steel strength is a factor of how strong the bonds between the particles that make it up are. Knife Steel is composed of grains of martensite and balls/rods of carbides. The tighter the bonds, the stronger the steel. When a blade breaks is is because the bond between two grains reached the failure point and separated. This is what a crack is.
Let's use a wall as an example of our blade steel.
Coarse - If the wall is made of cinder blocks, that is equivalent to large grain. A crack runs along the grain boundaries, so it runs along the mortar joints between the bricks. It can easily progress along and turn at the next bric, propagating from the side it started at to the other side quickly. This take much less force to make the crack grow and the wall fail. Let's say that the wall is 10 blocks high. That means that the crack only has to move ten boundaries to make the wall fail.
If the wall is made of bricks, it is stronger but the grain boundaries are still easily disrupted. This is fairly coarse grain. If the wall is 40 bricks high, it takes more time and force, but it only has to make it those forty steps to fail.
Medium - If the wall is made up from concrete with 2"" to 3"" rocks in it, it is equivalent to medium grain. It is much stronger than the block wall, but a crack can still find boundaries to move along. Once a crack starts, it will jump from rock to rock and move to the other side. If the rocks are packed well, it may take over a hundred moves to cross the wall. Much better, but still not the best.
Fine - If the wall is cast from cement with sand and fine gravel in it it is very strong. A crack will be harder to start and not find an easy path across the wall. It may take a lot more force and severa thousand steps to make a crack go across the wall.
Now lets compare the durability of these walls to a knife blade. Coarse grain breaks easily. Hit the wall with a car backing up carelessly and it cracks easily. The blade fails and breaks in half for the same reason.
The medium grain wall of rock concrete will take a heavier blow fron[m a car put in drive instead of reverse to crack, but the crack will likely run from top to bottom. The knife blade will take more abuse, but once it reaches the failure point, the crack will move across the blade and destroy it.
The fine grain wall is really solid, it take a car moving at full speed to break it. Hit it with a small car at low speed and the car is what gets damaged. This is why we want fine grain.
The other reason is that the edge sharpness is determined by the grain size at the edge.
If the grains are large, the edge is less tough, and chipping occurs easier.
Medium is better, but you still have limitations.
Fine allows the edge to be taken down to super thin and still hold up without chipping.
Flex, bend, and break are also inter-related to "strength", but that is a different topic.